(a) Convert (0.12), to a base 6 fraction (b) Convert (0.375)1o to a base 8 fraction (c) Let N (0.a a .am)x be an any base R fraction with at most m nonzero 1.27 digits Determine the necessary and sufficient conditions for N to be rep resentable as a base S fraction with a finite number of nonzero digits; say N (0.b ib bns. (Hint: Part (a) gives an example. Note that must be an integer.) (d) Generalize part (a) to determine necessary and sufficient conditions for a spe- cific, but not every, base R fraction, N (0.a a 2 am)Rs to be representable as a base S fraction with a finite number of nonzero digits. 1.33 Construct a 7-3-2-1 code for base 12 digits. Write B4A9 using this code